http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Partial Differential Equations and Mathematica
"Early training in the elementary techniques of partial differential equations is invaluable to students in engineering and the sciences as well as mathematics. However, to be effective, an undergraduate introduction must be carefully designed to be challenging, yet still reasonable in its demands. Judging from the first edition's popularity, instructors and students agree that despite the subject's complexity, it can be made fairly easy to understand. Revised and updated to reflect the latest version of Mathematica, Partial Differential Equations and Boundary Value Problems with Mathematica, Second Edition meets the needs of mathematics, science, and engineering students even better. While retaining systematic coverage of theory and applications, the authors have made extensive changes that improve the text's accessibility, thoroughness, and practicality.New in this edition:Upgraded and expanded Mathematica sections that include more exercisesAn entire chapter on boundary value problemsMore on inverse operators, Legendre functions, and Bessel functionsSimplified treatment of Green's functions that make it more accessible to undergraduates A section on the numerical computation of Green's functions Mathemcatica codes for solving most of the problems discussedBoundary value problems from continuum mechanics, particularly on boundary layers and fluctuating flowsWave propagation and dispersionWith its emphasis firmly on solution methods, this book is ideal for any mathematics curricula. It succeeds not only in preparing readers to meet the challenge of PDEs, but also in imparting the inherent beauty and applicability of the subject."--Provided by publisher.
chapter 0 Introduction to Mathematica -- chapter 1 Introduction -- chapter 2 Method of Characteristics First-Order Equations -- chapter 3 Linear Equations with Constant Coe?cients -- chapter 4 Orthogonal Expansions -- chapter 5 Separation of Variables -- chapter 6 Integral Transforms -- chapter 7 Green's Functions -- chapter 8 Initial and Boundary Value Problems -- chapter 9 Weighted Residual Methods -- chapter 10 Perturbation Methods -- chapter 11 Finite Di?erence Methods.
Prem K. Kythe, Michael R. Schäferkotter, Pratap Puri.